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Finding the Fourth Proportional to 13,817.52, 19,067.80 and 7,849.04

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Solution

The fourth proportional to 13,817.52, 19,067.80 and 7,849.04 is: 10,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.52 : 19,067.80 = 7,849.04 : x
  2. Step 2: Convert to fraction form
    13,817.52/19,067.80 = 7,849.04/x
  3. Step 3: Cross multiply
    13,817.52x = 19,067.80 × 7,849.04
  4. Step 4: Simplify right side
    13,817.52x = 149,663,924.91
  5. Step 5: Solve for x
    x = 149,663,924.91/13,817.52
  6. Step 6: Final answer
    x = 10,831.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.